TSTP Solution File: HEN010-4 by SPASS---3.9
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% File : SPASS---3.9
% Problem : HEN010-4 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n007.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Sat Jul 16 13:03:13 EDT 2022
% Result : Unsatisfiable 0.20s 0.48s
% Output : Refutation 0.20s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : HEN010-4 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.13 % Command : run_spass %d %s
% 0.12/0.34 % Computer : n007.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Fri Jul 1 14:16:39 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.20/0.48
% 0.20/0.48 SPASS V 3.9
% 0.20/0.48 SPASS beiseite: Proof found.
% 0.20/0.48 % SZS status Theorem
% 0.20/0.48 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.48 SPASS derived 749 clauses, backtracked 0 clauses, performed 0 splits and kept 223 clauses.
% 0.20/0.48 SPASS allocated 63747 KBytes.
% 0.20/0.48 SPASS spent 0:00:00.12 on the problem.
% 0.20/0.48 0:00:00.03 for the input.
% 0.20/0.48 0:00:00.00 for the FLOTTER CNF translation.
% 0.20/0.48 0:00:00.01 for inferences.
% 0.20/0.48 0:00:00.00 for the backtracking.
% 0.20/0.48 0:00:00.06 for the reduction.
% 0.20/0.48
% 0.20/0.48
% 0.20/0.48 Here is a proof with depth 5, length 24 :
% 0.20/0.48 % SZS output start Refutation
% 0.20/0.48 3[0:Inp] || -> equal(divide(u,u),zero)**.
% 0.20/0.48 6[0:Inp] || less_equal(divide(u,v),w)*+ -> less_equal(divide(u,w),v)*.
% 0.20/0.48 9[0:Inp] || -> equal(divide(identity,divide(identity,divide(identity,u))),divide(identity,u))**.
% 0.20/0.48 10[0:Inp] || equal(divide(divide(identity,a),divide(identity,divide(identity,a))),divide(identity,a))** -> .
% 0.20/0.48 12[0:Inp] || equal(divide(u,v),zero)** -> less_equal(u,v).
% 0.20/0.48 13[0:Inp] || -> less_equal(divide(u,v),u)*l.
% 0.20/0.48 14[0:Inp] || -> less_equal(divide(divide(u,v),divide(w,v)),divide(divide(u,w),v))*l.
% 0.20/0.48 15[0:Inp] || -> less_equal(zero,u)*.
% 0.20/0.48 16[0:Inp] || less_equal(u,v)*+ less_equal(v,u)* -> equal(v,u).
% 0.20/0.48 19[0:Res:16.2,10.0] || less_equal(divide(identity,a),divide(divide(identity,a),divide(identity,divide(identity,a)))) less_equal(divide(divide(identity,a),divide(identity,divide(identity,a))),divide(identity,a))*l -> .
% 0.20/0.48 20[0:MRR:19.1,13.0] || less_equal(divide(identity,a),divide(divide(identity,a),divide(identity,divide(identity,a))))*r -> .
% 0.20/0.48 66[0:SpL:3.0,12.0] || equal(zero,zero)* -> less_equal(u,u)*.
% 0.20/0.48 72[0:Obv:66.0] || -> less_equal(u,u)*.
% 0.20/0.48 82[0:SpR:3.0,14.0] || -> less_equal(divide(divide(u,v),zero),divide(divide(u,v),v))*.
% 0.20/0.48 126[0:Res:15.0,16.0] || less_equal(u,zero)* -> equal(u,zero).
% 0.20/0.48 434[0:Res:72.0,6.0] || -> less_equal(divide(u,divide(u,v)),v)*l.
% 0.20/0.48 482[0:Res:434.0,126.0] || -> equal(divide(u,divide(u,zero)),zero)**.
% 0.20/0.48 523[0:SpL:482.0,12.0] || equal(zero,zero) -> less_equal(u,divide(u,zero))*r.
% 0.20/0.48 526[0:Obv:523.0] || -> less_equal(u,divide(u,zero))*r.
% 0.20/0.48 536[0:Res:526.0,16.0] || less_equal(divide(u,zero),u)*l -> equal(divide(u,zero),u).
% 0.20/0.48 574[0:MRR:536.0,13.0] || -> equal(divide(u,zero),u)**.
% 0.20/0.48 586[0:Rew:574.0,82.0] || -> less_equal(divide(u,v),divide(divide(u,v),v))*r.
% 0.20/0.48 975[0:SpR:9.0,586.0] || -> less_equal(divide(identity,u),divide(divide(identity,u),divide(identity,divide(identity,u))))*r.
% 0.20/0.48 1003[0:UnC:975.0,20.0] || -> .
% 0.20/0.48 % SZS output end Refutation
% 0.20/0.48 Formulae used in the proof : x_divide_x_is_zero property_of_divide1 one_inversion_equals_three prove_property_of_inversion quotient_less_equal2 quotient_smaller_than_numerator quotient_property zero_is_smallest less_equal_and_equal
% 0.20/0.48
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